Cumulants in noncommutative probability II. Generalized Gaussian random variables

Abstract

We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.

14 pages, AMS-LaTeX; many corrections according to the referee; to appear in Prob Th Rel Fields

References in corpus (2)

• Cumulants in noncommutative probability I. Noncommutative Exchangeability Systems
• Generalised Brownian Motion and Second Quantisation

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